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Finding the Third Proportional to 78,063.75 and 152,239.50

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Solution

The third proportional to 78,063.75 and 152,239.50 is: 296,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.75 : 152,239.50 = 152,239.50 : x
  2. Step 2: Convert to fraction form
    78,063.75/152,239.50 = 152,239.50/x
  3. Step 3: Cross multiply
    78,063.75x = 152,239.50 × 152,239.50
  4. Step 4: Simplify right side
    78,063.75x = 23,176,865,360.25
  5. Step 5: Solve for x
    x = 23,176,865,360.25/78,063.75
  6. Step 6: Final answer
    x = 296,896.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.